Title :
A Kind of Hilbert Boundary Value Problem for Generalized Analytic Functions in Clifford Analysis
Author :
Si Zhongwei ; Wang Liang ; Zhong Xia ; Feng Xinlei ; Liang Lina
Author_Institution :
Sch. of Math. & Inf. Sci., Leshan Normal Univ., Leshan, China
Abstract :
Let R_0, n be the real Clifford algebra generated by e_1, e_2, cdots, e_n satisfying e_ie_j+e_je_i=-2 delta_ij for i, j=1, 2, cdots, n. e_0 is the unit element. In this paper, we first give the kernel function for the generalized analytic function. Further, a kind of Hilbert Boundary Value Problem for generalized analytic functions in R^n+1_+ will be investigated and the solution is obtained.
Keywords :
algebra; boundary-value problems; Clifford algebra; Clifford analysis; Hilbert boundary value problem; generalized analytic function; generalized analytic functions; kernel function; Algebra; Boundary conditions; Educational institutions; Equations; Radio frequency; Silicon; Hilbert Boundary Value Problem; Riemann Boundary Value Problem; generalized analytic function;
Conference_Titel :
Computational Intelligence and Security (CIS), 2013 9th International Conference on
Conference_Location :
Leshan
Print_ISBN :
978-1-4799-2548-3
DOI :
10.1109/CIS.2013.172
